All categories

2 years ago

What is the measure of angle z in this figure? x =

Mathematics

1 answer:

Tresset [83]2 years ago

8 0

• y is vertically opposite to the one whose measure is 43º.

So,

y = 43º.

• x and y are supplementary angles:

x + y = 180º

x = 180º – y

x = 180º – 43º

x = 137º.

• z and x are vertically opposites.

So,

z = x

z = 137º <——— this is the answer.

I hope this helps. =)

You might be interested in

Solve this inequality j/4 - 8 < 4

zubka84 [21]

J/4 - 8 < 4
 + 8 + 8 *add 8 to both sides to cancel -8.
j/4 < 12
*4/1 *4/1 *multiply 4/1 to both sides to cancel 1/4
j < 48

j should be less than 48 to make the inequality true.

example: j = 47
j/4 - 8 < 4
47/4 - 8 < 4
11.75 - 8 < 4
3.75 < 4

Any number below 48 will end up with an answer less than 4. if j is 48 and above, the inequality is false because the answer arrived at will be equal to or greater than 4.

5 0

2 years ago

A bag contains 3 red marbles, 7 blue marbles and 8 green marbles. If three marbles

ohaa [14]

Answer:

8/18

Step-by-step explanation:

You have 3 red, 7 blue, and 8 green marbles. Add all of them together and you have 18. The probability of you pulling out 3 green marbles is 8 out of 18.

8 0

3 years ago

Multiply each equation by a number that producess opposite coefficients for x and y?

almond37 [142]

Let's solve your system by substitution.

3x−2y=−12;4x+5y=7

Step: Solve3x−2y=−12for x:

3x−2y=−12

3x−2y+2y=−12+2y(Add 2y to both sides)

3x= 2y−12

3 3

2y−12

(Divide both sides by 3)

2

3 y−4

Step: Substitute

2

y−4 for x in 4x+5y=7:

4x+5y=7

4( 2/3 y−4)+5y=7

23

y−16=7(Simplify both sides of the equation)

23

y−16+16=7+16(Add 16 to both sides)

23

y=23

23

3 y

23

3 = 23

23

(Divide both sides by 23/3)

y=3

Step: Substitute 3 for y in x=

2

3 y−4:

2

3 y−4

x= 2

3 (3)−4

x=−2(Simplify both sides of the equation)

Answer:

x=−2 and y=3 (underlined and / are fractions or division)

4 0

2 years ago

Dracula jumped 5 times every 30 minutes at that rate, how long,in minutes will it take to jump 6 times?

pentagon [3]

Answer:

36 minutes

Step-by-step explanation:

If I read this correctly, Dracula jumps 1 time every 6 minutes. If he jumped 5 times in 30 minutes, then that means when he jumped a sixth time, it was 36 minutes that passed since:

30 / 5 = 6

So, if he were to jump a sixth time:

30 + 6 = 36

Therefore, Dracula jumps 1 time per 6 minutes.

3 0

2 years ago

Tickets to a band concert were $5.00 for balcony and $10.00 for orchestra seats. If attendance at one show was 800, and if the t

hammer [34]

Answer:

600

Step-by-step explanation:

concert=x

orchestra= 800-x

5x+10(800-x)=7000

5x+8000-10x=7000

-5x=-1000

x=200

800-x=600

Check

200*5=1000

600*10=6000

5 0

2 years ago